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Finding the Third Proportional to 116,783 and 252,935

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Solution

The third proportional to 116,783 and 252,935 is: 547,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,783 : 252,935 = 252,935 : x
  2. Step 2: Convert to fraction form
    116,783/252,935 = 252,935/x
  3. Step 3: Cross multiply
    116,783x = 252,935 × 252,935
  4. Step 4: Simplify right side
    116,783x = 63,976,114,225
  5. Step 5: Solve for x
    x = 63,976,114,225/116,783
  6. Step 6: Final answer
    x = 547,820.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.